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Finding the Third Proportional to 235,778,683,772.25 and 512,868,225,782.25

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Solution

The third proportional to 235,778,683,772.25 and 512,868,225,782.25 is: 1,115,596,256,662.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,778,683,772.25 : 512,868,225,782.25 = 512,868,225,782.25 : x
  2. Step 2: Convert to fraction form
    235,778,683,772.25/512,868,225,782.25 = 512,868,225,782.25/x
  3. Step 3: Cross multiply
    235,778,683,772.25x = 512,868,225,782.25 × 512,868,225,782.25
  4. Step 4: Simplify right side
    235,778,683,772.25x = 263,033,817,017,032,971,911,168
  5. Step 5: Solve for x
    x = 263,033,817,017,032,971,911,168/235,778,683,772.25
  6. Step 6: Final answer
    x = 1,115,596,256,662.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.